On the Spectrum of Isotropic Turbulence

Measurements of the spectrum and correlation functions at large Reynolds number (RN ~ 10^5 based on the grid mesh) have been made, as well as a series of accurate spectrum measurements at lower Reynolds number (RN ~ 10^4). The results are compared with the theoretical laws proposed in recent years. It is found that the measurements at large Reynolds numbers exhibit a range of frequencies where the spectrum is nearly of the form n^- 5/3. The largest part of the spectrum in the initial stage of decay at the lower Reynolds number was found to follow closely the simple spectrum A/[B + n^2] , where A and B are constants and n is the frequency of fluctuation. At x/M = 1000 (where x is the distance behind the grid and M is the mesh size) the spectrum approaches a Gaussian distribution. The second, fourth, and sixth moments of the spectrum have been computed from the measurements and are discussed In relation to theoretical results. The significance of the number of zeros of the fluctuating velocity u(t) is discussed and examples of measurements for the determination of the microscale of turbulence [lambda] from zero counts are given

The Exponential Map for the Conformal Group 0(2,4)

We present a general method to obtain a closed, finite formula for the exponential map from the Lie algebra to the Lie group, for the defining representation of the orthogonal groups. Our method is based on the Hamilton-Cayley theorem and some special properties of the generators of the orthogonal group, and is also independent of the metric. We present an explicit formula for the exponential of generators of the $SO_+(p,q)$ groups, with $p+q = 6$, in particular we are dealing with the conformal group $SO_+(2,4)$, which is homomorphic to the $SU(2,2)$ group. This result is needed in the generalization of U(1) gauge transformations to spin gauge transformations, where the exponential plays an essential role. We also present some new expressions for the coefficients of the secular equation of a matrix.Comment: 16pages,plain-TeX,(corrected TeX

A laser spectrometer and wavemeter for pulsed lasers

The design, construction, calibration, and evaluation of a pulsed laser wavemeter and spectral analyzer are described. This instrument, called the Laserscope for its oscilloscope-like display of laser spectral structure, was delivered to NASA Langley Research Center as a prototype of a laboratory instrument. The key component is a multibeam Fizeau wedge interferometer, providing high (0.2 pm) spectral resolution and a linear dispersion of spectral information, ideally suited to linear array photodiode detectors. Even operating alone, with the classic order-number ambiguity of interferometers unresolved, this optical element will provide a fast, real-time display of the spectral structure of a laser output. If precise wavelength information is also desired then additional stages must be provided to obtain a wavelength measurement within the order-number uncertainty, i.e., within the free spectral range of the Fizeau wedge interferometer. A Snyder (single-beam Fizeau) wedge is included to provide this initial wavelength measurement. Difficulties in achieving the required wide-spectrum calibration limit the usefulness of this function

Ordered structures and jet noise

A series of measurements of near field pressures and turbulent velocity fluctuations were made in a jet having a Reynolds number of about 50,000 in order to investigate more quantitatively the character and behavior of the large scale structures, and to ascertain their importance to the jet noise problem. It was found that the process of interaction between vortices can be inhibited by artificially exciting the shear layers with periodic disturbances of certain frequency. The turbulent fluctuation amplitudes measured at four diameters downstream decreased considerably. Finally, it was observed that the passage frequency of the structures decreased with x in a similar manner as the frequency corresponding to the maximum intensity radiation emanating from the same value of x

Identification of juvenile hormone-active alkylphenols in the lobster Homarus americanus and in marine sediments

Author Posting. © Marine Biological Laboratory, 2004. This article is posted here by permission of Marine Biological Laboratory for personal use, not for redistribution. The definitive version was published in Biological Bulletin 206 (2004): 13-24.We have identified, by gas chromatography/mass spectrometry, four alkylphenols that are present in the hemolymph and tissues of the American lobster Homarus americanus and in marine sediments. These alkylphenols are used industrially in antioxidant formulations for plastic and rubber polymer manufacturing, and are similar in structure to a known endocrine disruptor, bisphenol A. The compound 2-t-butyl-4-(dimethylbenzyl)phenol was present at concentrations of 0.02 to 1.15 µg/ml in hemolymph and 8.95 to 21.58 µg/g in sediments. A second compound, 2,4-bis-(dimethylbenzyl)phenol, was present at concentrations between 0.07 and 19.78 µg/ml in hemolymph and 138.94 to 224.89 µg/g in sediment, while a third compound, 2,6-bis-(t-butyl)-4-(dimethylbenzyl)phenol, was found at concentrations between 0.01 and 13.00 µg/ml in hemolymph, 2.55 and 6.11 µg/g in hepatopancreas, and 47.85 and 74.66 µg/g in sediment. A fourth compound, 2,4-bis-(dimethylbenzyl)-6-t-butylphenol, was found at concentrations of 0.20 to 70.71 µg/ml in hemolymph, 23.56 to 26.89 µg/g in hepatopancreas, and 90.68 to 125.58 µg/g in sediment. These compounds, along with bisphenol A, 4-dimethylbenzylphenol, and nonylphenol, display high juvenile hormone activity in bioassays. Alkylphenols at high concentrations are toxic to crustaceans and may contribute significantly to lobster mortality; at lower concentrations, they are likely to have endocrine-disrupting effects.We gratefully acknowledge the Sea Grant College Program, NOAA, and the Connecticut Department of Environmental Protection for providing financial support for this research

The Roles of Large Scale Structures in the Initial Development of Circular Jets

Experimental results are presented describing the flow field surrounding the potential core of a circular water jet in the Reynolds number region between 5,000 and 15,000. This field is divided into three regions: 1) the shear layer instability zone; 2) the vortex interaction region; and 3) the zone of higher order instability mode and turbulence generation. It is shown that the origin of the large scale structures just downstream of the potential cone can be traced to the upstream vortices, but their statistical behaviour (passage frequency, spatial coherence) seems to be independent of the initial shear layer instability

Vibrational Exciton Density of States in Solid Benzene

Computer‐aided calculations, based on experimentally‐fitted pairwise interaction terms, give the complete exciton density‐of‐states profile for the entire Brillouin zone. The restricted Frenkel model, with short‐range interactions, is the key assumption. Results are given and discussed for the out‐of‐plane a2ua2u normal mode ν11ν11(C6H6 and C6D6), for ν12(b1u)ν12(b1u), and for ν15(b2u)ν15(b2u). The wide range of parameters used makes this investigation pertinent to other vibrational and electronic exciton bands of benzene and any other molecular crystal with the same interchange symmetry. Also, Van Hove singularities are found to be more important for symmetry‐based critical points than for “accidental” critical points. Present‐day experimental and theoretical intermolecular excitation exchange interaction terms are compared.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/71006/2/JCPSA6-53-9-3674-1.pd

The Cannulated Pig: A Model for Monitoring the Dynamics of Foodborne Pathogens In Vivo

We have developed a pig caecal cannulation model that allows us to evaluate the effects in vivo of feed withdrawal on (1) the caecal environment, including pH and volatile fatty acid (VFA) concentration, and (2) the growth of foodborne pathogens in the caecum. In vitro studies evaluated growth of Yersinia enterocolitica and Salmonella typhimurium at five concentrations of VFA at four pH levels. Minimal growth occurred in VFA and pH levels that simulated the caecum of a well-fed pig. Maximal occurs in the absence of VFA (0 mM/ml) at pH 7.0. When cultured in the caecal contents of a fasted pig, Yersinia and Salmonella replicate and survive. In contrast, caecal contents of a well-fed pig inhibit their growth in vitro. When instilled directly into the pig caecum, Y. enterocolitica and S. typhimurium were detected in fecal and cecal samples for up to 1 month. Infected pigs were subjected to four cycles of interrupted feeding. No predictable change occurs in the number of Yersinia or Salmonella in the caecum or in feces of pigs subjected to interrupted feedings compared with controls on a normal feeding regimen. In contrast, a fasting cycle predictably reduced VFA concentrations and increased the pH of the caecum. Thus, the pig caecal cannulation model is a practical way of monitoring the long-term dynamics of growth and survival of foodborne pathogens in the live animal

Developing a Successful Information and Communication Technology Industry: The Role of Venture Capital, Knowledge, and the Government

Study of the factors that have lead to the development of a flourishing information and communication technology (ICT) industry is often based on the Silicon Valley development in the U.S. Given the globaliza- tion of the ICT industry, there is a need to understand the factors which contribute to the development of a successful ICT industry and to determine whether a generic model can be used to gain a better understanding of the forces that shape ICT development in other regions of the world. This study examines the phenomenal growth of the Israeli ICT industry in recent years, growth that is referred to as the “New Silicon Valley.” A generic model for the development of ICT industry is presented. We use the model to compare the develop- ment of the Israeli ICT industry with that of Silicon Valley and with the current state of the Dutch ICT industry. The results indicate that the model holds for both (historical) review of the development of Silicon Valley and for the current state of the Dutch ICT industry. The implications of the findings are discussed

We\u27re not the Enemy and We\u27re not Asking for the World : Low-wage Hospital Service Workers\u27 Advocacy for Fair Wages

A number of states and localities have increased the minimum wage beyond that set by the federal government in recognition of the material and health challenges faced by low-wage earners. Academics, economists, and activists have offered microeconomic, economic justice, and moral rationales to support increasing the minimum wage. These justifications can be understood from the vantage of claims-making, that is, the ways individuals and groups attempt to define and shape a social problem to influence policy. This paper examines the wage-related claims-making of low-wage hospital service workers. These workers (N=156) testified to a City Council-created Wage Review Committee, which posted the testimonies online. We qualitatively content analyzed these workers’ testimonies to identify their rationales for higher wages and fair wage rates. Hospital workers’ testimonies brought depth and new understanding to arguments for raising wages. Low-wage workers can be effective advocates for their own interests